Works matching AU Tsitouras, Ch.

Results: 31

Quadratic Störmer-type methods for the solution of the Boussinesq equation by the method of lines.

Published in:

Numerical Methods for Partial Differential Equations, 2008, v. 24, n. 5, p. 1321, doi. 10.1002/num.20317

By:

Tsitouras, Ch.;
Famelis, I. Th.

Publication type:

Article

Efficiently inaccurate approximation of hyperbolic tangent used as transfer function in artificial neural networks.

Published in:

Neural Computing & Applications, 2021, v. 33, n. 16, p. 10227, doi. 10.1007/s00521-021-05787-0

By:

Simos, T. E.;
Tsitouras, Ch.

Publication type:

Article

RUNGE-KUTTA PAIRS FOR SCALAR AUTONOMOUS INITIAL VALUE PROBLEMS.

Published in:

International Journal of Computer Mathematics, 2003, v. 80, n. 2, p. 201, doi. 10.1080/00207160304669

By:

Papageorgiou, G.;
Tsitouras, Ch.

Publication type:

Article

Continuous extensions to high order runge-kutta methods.

Published in:

International Journal of Computer Mathematics, 1997, v. 65, n. 3/4, p. 273, doi. 10.1080/00207169708804616

By:

Papageorgiou, G.;
Tsitouras, Ch.

Publication type:

Article

Interpolating runge-kutta-nyström methods of high order.

Published in:

International Journal of Computer Mathematics, 1993, v. 47, n. 3/4, p. 209, doi. 10.1080/00207169308804178

By:

Tsitouras, Ch.;
Papageorgiou, G.

Publication type:

Article

New interpolants for runge-kutta algorithms using second derivatives.

Published in:

International Journal of Computer Mathematics, 1989, v. 31, n. 1/2, p. 105, doi. 10.1080/00207168908803792

By:

Tsitouras, Ch.;
Papageorgiou, G.

Publication type:

Article

Scaled runge-kutta-nyström methods for the second order differential equation ÿ = f ( x , y ).

Published in:

International Journal of Computer Mathematics, 1989, v. 28, n. 1-4, p. 139, doi. 10.1080/00207168908803734

By:

Papageorgiou, G.;
Tsitouras, Ch.

Publication type:

Article

Eighth order, phase-fitted, six-step methods for solving y″=f(x,y).

Published in:

Journal of Mathematical Chemistry, 2020, v. 58, n. 1, p. 114, doi. 10.1007/s10910-019-01074-5

By:

Tsitouras, Ch.

Publication type:

Article

A new eighth order exponentially fitted explicit Numerov-type method for solving oscillatory problems.

Published in:

Journal of Mathematical Chemistry, 2018, v. 56, n. 5, p. 1456, doi. 10.1007/s10910-018-0873-x

By:

Tsitouras, Ch.;
Famelis, I. Th.

Publication type:

Article

Explicit, Eighth-Order, Four-Step Methods for Solving y″=f(x,y).

Published in:

Bulletin of the Malaysian Mathematical Sciences Society, 2020, v. 43, n. 5, p. 3791, doi. 10.1007/s40840-019-00879-6

By:

Medvedev, Maxim A.;
Simos, T. E.;
Tsitouras, Ch.

Publication type:

Article

Hybrid Numerov-Type Methods with Coefficients Trained to Perform Better on Classical Orbits.

Published in:

Bulletin of the Malaysian Mathematical Sciences Society, 2019, v. 42, n. 5, p. 2119, doi. 10.1007/s40840-019-00775-z

By:

Liu, Chenglian;
Hsu, Chieh-Wen;
Tsitouras, Ch.;
Simos, T. E.

Publication type:

Article

On explicit ninth‐order, two‐step methods addressing y<sup>″</sup>=f(x,y).

Published in:

Mathematical Methods in the Applied Sciences, 2025, v. 48, n. 2, p. 2517, doi. 10.1002/mma.10448

By:

Jerbi, Houssem;
Aoun, Sondess Ben;
Alshammari, Obaid;
Simos, Theodore E.;
Tsitouras, Ch.;
Kchaou, Mourad

Publication type:

Article

Handling effectively the rejected stages in Runge–Kutta pairs implementation.

Published in:

Mathematical Methods in the Applied Sciences, 2024, v. 47, n. 12, p. 10390, doi. 10.1002/mma.10128

By:

Xiang, Er‐Ping;
Lin, Chia‐Liang;
Simos, T. E.;
Tsitouras, Ch.

Publication type:

Article

Midway reassignment of Runge–Kutta step length.

Published in:

Mathematical Methods in the Applied Sciences, 2023, v. 46, n. 16, p. 16701, doi. 10.1002/mma.9469

By:

Kovalnogov, V. N.;
Fedorov, R. V.;
Demidov, D. A.;
Malyoshina, M. A.;
Simos, T. E.;
Tsitouras, Ch.

Publication type:

Article

New family for Runge‐Kutta‐Nyström pairs of orders 6(4) with coefficients trained to address oscillatory problems.

Published in:

Mathematical Methods in the Applied Sciences, 2022, v. 45, n. 12, p. 7715, doi. 10.1002/mma.8273

By:

Kovalnogov, Vladislav N.;
Kornilova, M. I.;
Khakhalev, Y. A.;
Generalov, D. A.;
Simos, T.E.;
Tsitouras, Ch.

Publication type:

Article

Sixth‐order, P‐stable, Numerov‐type methods for use at moderate accuracies.

Published in:

Mathematical Methods in the Applied Sciences, 2021, v. 44, n. 8, p. 6923, doi. 10.1002/mma.7233

By:

Medvedeva, Marina A.;
Simos, T. E.;
Tsitouras, Ch.

Publication type:

Article

Exponential integrators for linear inhomogeneous problems.

Published in:

Mathematical Methods in the Applied Sciences, 2021, v. 44, n. 1, p. 937, doi. 10.1002/mma.6802

By:

Medvedeva, Marina A.;
Simos, T. E.;
Tsitouras, Ch.

Publication type:

Article

A highly accurate differential evolution-particle swarm optimization algorithm for the construction of initial value problem solvers.

Published in:

Engineering Optimization, 2018, v. 50, n. 8, p. 1364, doi. 10.1080/0305215X.2017.1400545

By:

Th. Famelis, I.;
Alexandridis, A.;
Tsitouras, Ch.

Publication type:

Article

EXPLICIT EIGHTH ORDER TWO-STEP METHODS WITH NINE STAGES FOR INTEGRATING OSCILLATORY PROBLEMS.

Published in:

International Journal of Modern Physics C: Computational Physics & Physical Computation, 2006, v. 17, n. 6, p. 861, doi. 10.1142/S0129183106009357

By:

TSITOURAS, Ch.

Publication type:

Article

Explicit Numerov Type Methods for Second Order IVPs with Oscillating Solutions.

Published in:

International Journal of Modern Physics C: Computational Physics & Physical Computation, 2001, v. 12, n. 5, p. 657, doi. 10.1142/S0129183101001869

By:

Papageorgiou, G.;
Tsitouras, Ch.;
Famelis, I. Th.

Publication type:

Article

Interpolants for sixth‐order Numerov‐type methods.

Published in:

Mathematical Methods in the Applied Sciences, 2019, v. 42, n. 18, p. 7349, doi. 10.1002/mma.5848

By:

Alolyan, Ibraheem;
Simos, T.E.;
Tsitouras, Ch.

Publication type:

Article

Phase‐fitted, six‐step methods for solving x′′ = f(t,x).

Published in:

Mathematical Methods in the Applied Sciences, 2019, v. 42, n. 11, p. 3942, doi. 10.1002/mma.5623

By:

Liu, Chenglian;
Hsu, Chieh‐Wen;
Simos, T. E.;
Tsitouras, Ch.

Publication type:

Article

Hybrid, phase–fitted, four–step methods of seventh order for solving x″(t) = f(t,x).

Published in:

Mathematical Methods in the Applied Sciences, 2019, v. 42, n. 6, p. 2025, doi. 10.1002/mma.5495

By:

Medvedev, Maxim A.;
Simos, T. E.;
Tsitouras, Ch.

Publication type:

Article

Trigonometric–fitted hybrid four–step methods of sixth order for solving y′′(x)=f(x,y).

Published in:

Mathematical Methods in the Applied Sciences, 2019, v. 42, n. 2, p. 710, doi. 10.1002/mma.5371

By:

Medvedev, Maxim A.;
Simos, T. E.;
Tsitouras, Ch.

Publication type:

Article

Explicit, two‐stage, sixth‐order, hybrid four‐step methods for solving y′′(x)=f(x,y).

Published in:

Mathematical Methods in the Applied Sciences, 2018, v. 41, n. 16, p. 6997, doi. 10.1002/mma.5211

By:

Medvedev, Maxim A.;
Simos, T. E.;
Tsitouras, Ch.

Publication type:

Article

Fitted modifications of Runge‐Kutta pairs of orders 6(5).

Published in:

Mathematical Methods in the Applied Sciences, 2018, v. 41, n. 16, p. 6184, doi. 10.1002/mma.5128

By:

Medvedev, Maxim A.;
Simos, T. E.;
Tsitouras, Ch.

Publication type:

Article

Fitted modifications of classical Runge‐Kutta pairs of orders 5(4).

Published in:

Mathematical Methods in the Applied Sciences, 2018, v. 41, n. 12, p. 4549, doi. 10.1002/mma.4913

By:

Simos, T. E.;
Tsitouras, Ch.

Publication type:

Article

Trigonometric fitted, eighth‐order explicit Numerov‐type methods.

Published in:

Mathematical Methods in the Applied Sciences, 2018, v. 41, n. 5, p. 1845, doi. 10.1002/mma.4711

By:

Berg, Dmitry B.;
Simos, T. E.;
Tsitouras, Ch.

Publication type:

Article

A new family of 7 stages, eighth-order explicit Numerov-type methods.

Published in:

Mathematical Methods in the Applied Sciences, 2017, v. 40, n. 18, p. 7867, doi. 10.1002/mma.4570

By:

Simos, T.E.;
Tsitouras, Ch.

Publication type:

Article

Evolutionary generation of high-order, explicit, two-step methods for second-order linear IVPs.

Published in:

Mathematical Methods in the Applied Sciences, 2017, v. 40, n. 18, p. 6276, doi. 10.1002/mma.4454

By:

Simos, T. E.;
Tsitouras, Ch.

Publication type:

Article

Symbolic derivation of Runge–Kutta–Nyström order conditions.

Published in:

Journal of Mathematical Chemistry, 2009, v. 46, n. 3, p. 896, doi. 10.1007/s10910-009-9560-2

By:

Tsitouras, Ch.;
Famelis, I. Th.

Publication type:

Article